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Finding the Fourth Proportional to 8,570.15, 12,857.15 and 3,023.54

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Solution

The fourth proportional to 8,570.15, 12,857.15 and 3,023.54 is: 4,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.15 : 12,857.15 = 3,023.54 : x
  2. Step 2: Convert to fraction form
    8,570.15/12,857.15 = 3,023.54/x
  3. Step 3: Cross multiply
    8,570.15x = 12,857.15 × 3,023.54
  4. Step 4: Simplify right side
    8,570.15x = 38,874,147.01
  5. Step 5: Solve for x
    x = 38,874,147.01/8,570.15
  6. Step 6: Final answer
    x = 4,535.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.